Question

Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 716 km and traveled a distance of 3130 km in 6.25 h. a. What was the speed (in m/s) of the wave.For reference, the speed of a 747 jetliner is about 250 m/s.b. Find the wave's i. Frequency ii. Period.

Answer 1

139.11 m/s

0.000194287 Hz

5147.00596 s

Step-by-step explanation:

`\lambda` = Wavelength = 716 km

s = Distance = 3130 km

t = Time = 6.25 h

Speed is given by

`v=(s)/(t)\\\Rightarrow v=(3130* 1000)/(6.25* 3600)\\\Rightarrow v=139.11\ m/s`

Speed of the wave is 139.11 m/s

Frequency is given by

`f=(v)/(\lambda)\\\Rightarrow f=(139.11)/(716000)\\\Rightarrow f=0.000194287\ Hz`

The frequency is 0.000194287 Hz

Period is given by

`T=(1)/(f)\\\Rightarrow T=(1)/((139.11)/(716000))\\\Rightarrow T=5147.00596\ s`

The period is 5147.00596 s